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Finding the Fourth Proportional to 11,347.50, 17,021.37 and 3,139.50

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Solution

The fourth proportional to 11,347.50, 17,021.37 and 3,139.50 is: 4,709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.50 : 17,021.37 = 3,139.50 : x
  2. Step 2: Convert to fraction form
    11,347.50/17,021.37 = 3,139.50/x
  3. Step 3: Cross multiply
    11,347.50x = 17,021.37 × 3,139.50
  4. Step 4: Simplify right side
    11,347.50x = 53,438,591.12
  5. Step 5: Solve for x
    x = 53,438,591.12/11,347.50
  6. Step 6: Final answer
    x = 4,709.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.